Provide an Appropriate Response $S$ Of Four Distinct Points In $R ^ { 3 }$

question 24

Multiple Choice

Provide an appropriate response.
-Pick a set $S$ of four distinct points in $R ^ { 3 }$ such that aff $S$ is the plane $2 x _ { 1 } + x _ { 2 } - 3 x _ { 3 } = 14$ .

• A) \(\mathrm { S } = \left\{ \left[ \begin{array} { r } 2 \\ 1 \\ - 3 \end{array} \right] , \left[ \begin{array} { r } 4 \\ 2 \\ - 6 \end{array} \right] , \left[ \begin{array} { r } 0 \\ 14 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 1 \\ 15 \\ 1 \end{array} \right] \right\}\)
• B) \(\mathrm { S } = \left\{ \left[ \begin{array} { r } 0 \\ 17 \\ 1 \end{array} \right] , \left[ \begin{array} { r } 1 \\ 9 \\ - 1 \end{array} \right] , \left[ \begin{array} { r } - 2 \\ 18 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 0 \\ 14 \\ 0 \end{array} \right] \right\}\)
• C) \(\mathrm { S } = \left\{ \left[ \begin{array} { r } 2 \\ 15 \\ 1 \end{array} \right] , \left[ \begin{array} { r } - 1 \\ 9 \\ - 1 \end{array} \right] , \left[ \begin{array} { r } 3 \\ 10 \\ 0 \end{array} \right] , \left[ \begin{array} { l } 0 \\ 0 \\ 0 \end{array} \right] \right\}\)
• D) \(\mathrm { S } = \left\{ \left[ \begin{array} { r } 0 \\ 11 \\ 1 \end{array} \right] , \left[ \begin{array} { l } 1 \\ 9 \\ 1 \end{array} \right] , \left[ \begin{array} { r } 2 \\ 18 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 0 \\ 14 \\ 0 \end{array} \right] \right\}\)

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Definitions:

Stereotyping

The act of assigning oversimplified or generalized characteristics to a group of people, ignoring individual differences.

Majority Culture

Majority culture refers to the cultural practices, values, and norms of the dominant group in a society, which often influence societal institutions and policies.

Ethnic Minority Culture

The shared practices, values, beliefs, languages, and traditions among people who identify with a smaller, distinct ethnic group within a larger population.

Separation

The process in which people identify with the ethnic minority culture to which they belong while rejecting or rebuffing the majority culture.